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Finding the Fourth Proportional to 136,054.84, 204,086.10 and 37,558.84

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Solution

The fourth proportional to 136,054.84, 204,086.10 and 37,558.84 is: 56,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,054.84 : 204,086.10 = 37,558.84 : x
  2. Step 2: Convert to fraction form
    136,054.84/204,086.10 = 37,558.84/x
  3. Step 3: Cross multiply
    136,054.84x = 204,086.10 × 37,558.84
  4. Step 4: Simplify right side
    136,054.84x = 7,665,237,176.12
  5. Step 5: Solve for x
    x = 7,665,237,176.12/136,054.84
  6. Step 6: Final answer
    x = 56,339.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.